Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

Time bar (total: 3.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (44.2%)

Results
1.1s7216×256valid
137.0ms1039×256infinite
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 308.0ms
Operation ival-div, time spent: 146.0ms, 47.0% of total-time
Operation ival-mult, time spent: 80.0ms, 26.0% of total-time
Operation ival-sub, time spent: 63.0ms, 20.0% of total-time
Operation const, time spent: 20.0ms, 6.0% of total-time
Bogosity

preprocess258.0ms (8.5%)

Algorithm
1×egg-herbie
Rules
661×fma-define
378×fma-neg
86×unsub-neg
83×distribute-lft-neg-in
79×associate-*r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(*.f64 x y)
00-0-z
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51448330
62207330
72262330
82268330
92268330
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
Symmetry

(sort x y)

Compiler

Compiled 70 to 41 computations (41.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
Operation ival-div, time spent: 63.0ms, 86.0% of total-time
Operation ival-mult, time spent: 4.0ms, 5.0% of total-time
Operation ival-sub, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 36 to 24 computations (33.3% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
▶100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize121.0ms (4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 48 to 27 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-div, time spent: 13.0ms, 48.0% of total-time
Operation composed, time spent: 4.0ms, 15.0% of total-time
Operation ival-mult, time spent: 4.0ms, 15.0% of total-time
Operation ival-sub, time spent: 2.0ms, 7.0% of total-time
Operation ival-add, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

series10.0ms (0.3%)

Counts
2 → 60
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (/ (* x y) 2) (/ z 8))
1.0ms
x
@inf
(/ (* x y) 2)
1.0ms
y
@inf
(- (/ (* x y) 2) (/ z 8))
1.0ms
x
@inf
(- (/ (* x y) 2) (/ z 8))
0.0ms
z
@0
(- (/ (* x y) 2) (/ z 8))

rewrite233.0ms (7.6%)

Algorithm
1×batch-egg-rewrite
Rules
964×log1p-expm1-u
964×expm1-log1p-u
474×log-prod
294×fma-define
156×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
118349
2259749
Stop Event
1×node limit
Counts
2 → 178
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
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(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify148.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
856×times-frac
520×fma-neg
365×cancel-sign-sub-inv
324×distribute-lft-neg-in
317×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03858511
19038319
227308313
Stop Event
1×node limit
Counts
238 → 215
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
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(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))

eval82.0ms (2.7%)

Compiler

Compiled 3620 to 2448 computations (32.4% saved)

prune35.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2123215
Fresh000
Picked112
Done000
Total2134217
Accuracy
100.0%
Counts
217 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶87.5%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
▶54.8%
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
▶46.6%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 40 to 30 computations (25% saved)

localize85.0ms (2.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓87.5%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 56 to 31 computations (44.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-mult, time spent: 23.0ms, 75.0% of total-time
Operation ival-add, time spent: 3.0ms, 10.0% of total-time
Operation ival-div, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

series8.0ms (0.2%)

Counts
1 → 33
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
1.0ms
y
@0
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
1.0ms
z
@0
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
1.0ms
x
@0
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
1.0ms
z
@inf
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))

rewrite107.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1043×log1p-expm1-u
1043×expm1-log1p-u
552×log-prod
372×fma-define
172×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
119439
2283439
Stop Event
1×node limit
Counts
1 → 67
Calls
Call 1
Inputs
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
(+.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (exp.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z y) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 z y) (*.f64 #s(literal -1/8 binary64) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) y (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (cbrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))) (cbrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (sqrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 y)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (sqrt.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (sqrt.f64 y)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y #s(literal -1/8 binary64)) (/.f64 z y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (/.f64 z y)) #s(literal -1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))

simplify123.0ms (4%)

Algorithm
1×egg-herbie
Rules
796×fma-define
436×*-commutative
388×times-frac
308×associate-/l*
264×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02173518
15393474
217953396
370303396
Stop Event
1×node limit
Counts
100 → 99
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(+.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (exp.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z y) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 z y) (*.f64 #s(literal -1/8 binary64) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) y (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (cbrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))) (cbrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (sqrt.f64 (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 y)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (sqrt.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (sqrt.f64 y)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal -1/8 binary64) (/.f64 z y))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y #s(literal -1/8 binary64)) (/.f64 z y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (/.f64 z y)) #s(literal -1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
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(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 y (/.f64 z y)) #s(literal -1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y))) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))

eval31.0ms (1%)

Compiler

Compiled 1775 to 1034 computations (41.7% saved)

prune18.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh000
Picked033
Done011
Total994103
Accuracy
100.0%
Counts
103 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓87.5%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
✓54.8%
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
✓46.6%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 79 to 56 computations (29.1% saved)

regimes26.0ms (0.9%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
Calls

7 calls:

4.0ms
z
4.0ms
x
4.0ms
(*.f64 x y)
4.0ms
(/.f64 z #s(literal 8 binary64))
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes23.0ms (0.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Calls

7 calls:

5.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
4.0ms
x
3.0ms
(/.f64 z #s(literal 8 binary64))
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes17.0ms (0.6%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) z)
Calls

3 calls:

6.0ms
y
5.0ms
z
5.0ms
x
Results
AccuracySegmentsBranch
75.0%3x
75.0%3y
75.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
Outputs
(*.f64 #s(literal -1/8 binary64) z)
Calls

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
46.6%1y
46.6%1x
46.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.3514874639068424e+66
7.428593235342474e+66
13.0ms
-1.7321255389428747e+20
-6.924157300178257e+19
Results
18.0ms142×256valid
2.0ms17×256infinite
0.0ms1×256valid
Compiler

Compiled 178 to 144 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-div, time spent: 4.0ms, 56.0% of total-time
Operation ival-sub, time spent: 1.0ms, 14.0% of total-time
Operation ival-mult, time spent: 1.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×*-commutative
4×sub-neg
4×+-commutative
3×neg-sub0
3×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034134
146134
255134
361134
466134
568134
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 z #s(literal -75000000000000000000 binary64)) (*.f64 #s(literal -1/8 binary64) z) (if (<=.f64 z #s(literal 2400000000000000168089136609162785949817805508345757444733004677120 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) z)))
(*.f64 #s(literal -1/8 binary64) z)
Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 z #s(literal -75000000000000000000 binary64)) (*.f64 #s(literal -1/8 binary64) z) (if (<=.f64 z #s(literal 2400000000000000168089136609162785949817805508345757444733004677120 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) z)))
(if (or (<=.f64 z #s(literal -75000000000000000000 binary64)) (not (<=.f64 z #s(literal 2400000000000000168089136609162785949817805508345757444733004677120 binary64)))) (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
Compiler

Compiled 49 to 37 computations (24.5% saved)

soundness284.0ms (9.3%)

Rules
856×times-frac
661×fma-define
520×fma-neg
378×fma-neg
365×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51448330
62207330
72262330
82268330
92268330
03858511
19038319
227308313
Stop Event
1×node limit
1×saturated
Compiler

Compiled 79 to 52 computations (34.2% saved)

end0.0ms (0%)

preprocess54.0ms (1.8%)

Remove

(sort x y)

Compiler

Compiled 192 to 138 computations (28.1% saved)

Profiling

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